In this paper, by re-constructing the continuous Glimm functional, we consider global classical solutions to the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems without as- suming the systems to be weakly linearly degenerate. An application is given for the system of traffic flow.

/pdf/global-classical-solutions-on-a-semi-bounded-initial-axis-4t6dz7pqz4.pdf

Global classical solutions on a semi-bounded initial axis for quasilinear hyperbolic systems

Global Classical Solutions with Small Initial Total Variation for Quasilinear Non-strictly Hyperbolic Systems

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Global Classical Solutions with Small Initial Total Variation for Quasilinear Non-strictly Hyperbolic Systems